215066741760 has 528 divisors, whose sum is σ = 832309479456. Its totient is φ = 52935524352.

The previous prime is 215066741759. The next prime is 215066741881. The reversal of 215066741760 is 67147660512.

215066741760 is a `hidden beast` number, since 2 + 1 + 506 + 6 + 74 + 1 + 76 + 0 = 666.

It is a super-2 number, since 2×215066741760² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16167432 + ... + 16180728.

Almost surely, 2^215066741760 is an apocalyptic number.

215066741760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215066741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416154739728).

215066741760 is an abundant number, since it is smaller than the sum of its proper divisors (617242737696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

215066741760 is a wasteful number, since it uses less digits than its factorization.

215066741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13350 (or 13320 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 215066741760 in words is "two hundred fifteen billion, sixty-six million, seven hundred forty-one thousand, seven hundred sixty".